SOLUTION: In the formula t/(ry - 3) = r/y, what is y in terms of r and t.

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Question 1136285: In the formula t/(ry - 3) = r/y, what is y in terms of r and t.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
t%2F%28ry+-+3%29+=+r%2Fy
y%28ry-3%29%28t%2F%28ry-3%29%29=y%28ry-3%29%28r%2Fy%29
y%28ry-3%29%28t%2F%28ry-3%29%29=%28ry-3%29%28r%29
yt=yr%5E2-3r
yt-yr%5E2=-3r
y%28t-r%5E2%29=-3r
y%28r%5E2-t%29=3r

y=3r%2F%28r%5E2-t%29

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Easier still,
You were instructed to solve for y, which only appears in the denominators. If the two rational expressions are equal, then their reciprocals are also equal.

%28ry-3%29%2Ft=y%2Fr

r%28ry-3%29=ty

r%5E2y-3r=ty

-3r=ty-r%5E2y

3r=yr%5E2-ty

%283r%29%2F%28r%5E2-t%29=y